Question Factor the expression Factor (r−1)(r2+r+1)(r6+r3+1) Evaluate r9−1Rewrite the expression in exponential form r9−13Use a3−b3=(a−b)(a2+ab+b2) to factor the expression (r3−1)(r6+r3×1+12)Any expression multiplied by 1 remains the same (r3−1)(r6+r3+12)1 raised to any power equals to 1 (r3−1)(r6+r3+1)Solution More Steps Evaluate r3−1Rewrite the expression in exponential form r3−13Use a3−b3=(a−b)(a2+ab+b2) to factor the expression (r−1)(r2+r×1+12)Any expression multiplied by 1 remains the same (r−1)(r2+r+12)1 raised to any power equals to 1 (r−1)(r2+r+1) (r−1)(r2+r+1)(r6+r3+1) Show Solution Find the roots Find the roots of the algebra expression r=1 Evaluate r9−1To find the roots of the expression,set the expression equal to 0 r9−1=0Move the constant to the right-hand side and change its sign r9=0+1Removing 0 doesn't change the value,so remove it from the expression r9=1Take the 9-th root on both sides of the equation 9r9=91Calculate r=91Solution r=1 Show Solution